If the time period of SHM of rectangular block can be represented as
\[T=2\pi \sqrt{\frac{m(\sqrt a +b)}{ck}}\]
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Find the value of \(a+b+c\).

**Details and Assumptions**:

Treat the pulley as a disc.

The block and pulley are oscillating in the same phase with the same frequency.

Pulley has sufficient friction for

*Pure Rolling*and mass=m & strings are light and inextensible.Gravity is present.

Zig-zag lines in fig represents spring of spring constant \(k\) and \(2k\) as shown.

a is a square-free integer and the fraction is in simplest form.

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